Question

pqr is an isosceles triangle in which PQ is equal to PR . PR bisects exterior angle xpr and RS parallel QP .show that angle SPR is equal to QRP and also pqrs is a parallelogram ​

Answer 1

Answer:

Which of the following is false?

(a) Cube of any odd number is odd. (b) A perfect cube does not end with two zeros. (c) The cube of a single digit number may be a single digit number. (d) There is no perfect cube which ends with 8.

The cube of an odd natural number is

(a) Even (b) Odd (c) Maybe even, Maybe odd (d) Prime number

If the area of a circle is 144 cm2 , then the area of its quadrant is _______

(a) 144 cm2 (b) 12 cm2 (c) 72 cm2 (d) 36 cm2

The perimeter of the quadrant of a circle of diameter 84 cm is _______

(a) 150 cm (b) 120 cm (c) 21 cm (d) 42 cm

Quadrant of a circle is ______ of the circle.

(a) one-half (b) one-fourth (c) one-third (d) two-thirds

The central angle of a quadrant is _______

(a) 90° (b) 180° (c) 270° (d) 0°

Calculate the perimeter and area of a quadrant of the circles whose radii are,

(a) 98 cm (b) 70 cm (c) 42 m (d) 28 m

Which of the following will be the angles of a triangle?

(a) 35°, 45°, 90° (b) 26°, 58°, 96° (c) 38°, 56°, 96° (d) 30°, 55°, 90°

Which of the following statement is correct ?

(a) Equilateral triangle is equiangular (b) Isosceles triangle is equiangular. (c) Equiangular triangle is not equilateral. (d) Scalene triangle is equiangular

Which of the following set of measurements will form a triangle?

(a) 11 cm, 4 cm, 6 cm (b) 13 cm, 14 cm, 25 cm (c) 8 cm, 4 cm, 3 cm (d) 5 cm, 16 cm, 5 cm

In a triangle ABC, \angleA = 40o and AB = AC, then ABC is _____ triangle.

(a) a right angled (b) an equilateral (c) an isosceles (d) a scalene

In the \DeltaPQR the angle included by the sides PQ and PR is

(a) \angleP (b) \angleQ (c) \angleR (d) None of these

Part - B

5 x 1 = 5

All Integers are Rational Numbers

(a) True (b) False

All Natural Numbers are Integers.

(a) True (b) False

All Integers are Natural Numbers

(a) True (b) False

All Natural Numbers are Whole Numbers

(a) True (b) False

All Rational Numbers are Whole Numbers

(a) True (b) False

Part - C

10 x 2 = 20

Find the square root of 169

Simplify:

\frac { { \left( { 2 }^{ 2 } \right) }^{ 3 } }{ { \left( { 3 }^{ 2 } \right) }^{ 2 } }

Is 500 a perfect cube?

The length of a chain used as the boundary of a semicircular park is 36 m. Find the area of the park.

Find the perimeter and area of the following combined figures.

(i) (ii)

A 14 m wide athletic track consists of two straight sections each 120 m long joined by semi-circular ends with inner radius is 35 m. Calculate the area of the track.

Step-by-step explanation: